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Finding the Fourth Proportional to 26,618.38, 36,732.12 and 15,280

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Solution

The fourth proportional to 26,618.38, 36,732.12 and 15,280 is: 21,085.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,618.38 : 36,732.12 = 15,280 : x
  2. Step 2: Convert to fraction form
    26,618.38/36,732.12 = 15,280/x
  3. Step 3: Cross multiply
    26,618.38x = 36,732.12 × 15,280
  4. Step 4: Simplify right side
    26,618.38x = 561,266,793.60
  5. Step 5: Solve for x
    x = 561,266,793.60/26,618.38
  6. Step 6: Final answer
    x = 21,085.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.